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Finding the Fourth Proportional to 10,297.52, 14,210.64 and 5,821.70

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Solution

The fourth proportional to 10,297.52, 14,210.64 and 5,821.70 is: 8,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.52 : 14,210.64 = 5,821.70 : x
  2. Step 2: Convert to fraction form
    10,297.52/14,210.64 = 5,821.70/x
  3. Step 3: Cross multiply
    10,297.52x = 14,210.64 × 5,821.70
  4. Step 4: Simplify right side
    10,297.52x = 82,730,053.78
  5. Step 5: Solve for x
    x = 82,730,053.78/10,297.52
  6. Step 6: Final answer
    x = 8,033.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.